Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015

The Combination of the Hilbert Transform and the Fourier Transform for Mechanical Vibration Signal Analysis

Authors
Xiao Wang, Yan Zhu, Bo Yu
Corresponding Author
Xiao Wang
Available Online December 2015.
DOI
https://doi.org/10.2991/icmmcce-15.2015.317How to use a DOI?
Keywords
Empirical Mode Decomposition; Refinement Fourier Spectrum Analysis; Hilbert Transform; Analytic Signal; Instantaneous Phase
Abstract
In this paper we propose one method for mechanical vibration signal analysis. The given mechanical vibration signal is firstly decomposed into several intrinsic mode functions (IMFs) by the empirical mode decomposition (EMD) method. The Hilbert transform of each IMF, calculated by a recently developed fast algorithm, is then implemented and the analytical signal corresponding to each IMF is obtained. After writing the analytical signal in polar coordinates, we do the refinement Fourier spectrum analysis for the phase function of every analytical signal. By comparing the behavior of these analytical signals, which correspond to different IMFs, in the frequency domain with the characteristic frequency of the mechanical system, we distinguish the IMFs which contain the effective information from the IMFs which consist of noise in the original signal. Numerical results show that the combination of the Hilbert transform and the Fourier analysis works well for practical signals.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Xiao Wang
AU  - Yan Zhu
AU  - Bo Yu
PY  - 2015/12
DA  - 2015/12
TI  - The Combination of the Hilbert Transform and the Fourier Transform for Mechanical Vibration Signal Analysis
BT  - Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmcce-15.2015.317
DO  - https://doi.org/10.2991/icmmcce-15.2015.317
ID  - Wang2015/12
ER  -